English

Nevanlinna-Pick spaces with hyponormal multiplication operators

Functional Analysis 2015-10-08 v2

Abstract

We show that the Hardy space on the unit disk is the only non-trivial irreducible reproducing kernel Hilbert space which satisfies the complete Nevanlinna-Pick property and hyponormality of all multiplication operators.

Keywords

Cite

@article{arxiv.1308.1130,
  title  = {Nevanlinna-Pick spaces with hyponormal multiplication operators},
  author = {Michael Hartz},
  journal= {arXiv preprint arXiv:1308.1130},
  year   = {2015}
}

Comments

9 pages; minor changes

R2 v1 2026-06-22T01:04:23.670Z